2015年北京中考一模五选五试题及答案

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2015年北京市通州区中考数学一模试卷带解析答案

2015年北京市通州区中考数学一模试卷带解析答案
第 2 页(共 32 页)
灯塔落在地面上的影长为 12 米,然后在同一时刻立一根高 2 米的标杆,测得 标杆影长为 0.5 米,那么燃灯塔高度为 米.
14. (3 分)生物学研究表明在 8﹣17 岁期间,男女生身高增长速度规律呈现如 图所示,请你观察此图,回答下列问题:男生身高增长速度的巅峰期是 岁,在 岁时男生女生的身高增长速度是一样的.
四、解答题(每题 5 分,共 25 分)
第 4 页(共 32 页)
22. (5 分)为了把通州区打造成宜居的北京城市副中心,区政府对地下污水排 放设施进行改造.某施工队承担铺设地下排污管道任务共 2200 米,为了减少 施工对周边交通环境的影响,施工队进行技术革新,使实际平均每天铺设管 道的长度比原计划多 10%,结果提前两天完成任务.求原计划平均每天铺设 排污管道的长度. 23. (5 分)已知菱形 ABCD 的对角线 AC 与 BD 相交于点 E,点 F 在 BC 的延长 线上, 且 CF=BC, 连接 DF, 点 G 是 DF 中点, 连接 CG. 求证: 四边形 ECGD 是矩形.
2. (3 分)北京市为了缓解交通拥堵问题,大力发展轨道交通.据调查,目前轨 道交通日均运送乘客达到 1320 万人次.数据 1320 万用科学记数法表示正确 的是( ) B.13.2×102 万 C.1.32×103 万 D.1.32×104 万 )
A.132×101 万
3. (3 分)某几何体的通州区中考一模数学试卷
一、选择题(每题只有一个正确答案,共 10 个小题,每小题 3 分,共 30 分) 1. (3 分)﹣2 的绝对值是( A.±2 B.2 ) C. D.
A.圆柱
B.三棱柱
C.长方体 ) C.2a2+a2=3a4

2015年北京市东城区中考数学一模试卷带解析答案

2015年北京市东城区中考数学一模试卷带解析答案

源处 费 理 费 第一阶梯 第二阶梯 第三阶梯 0﹣180(含) 181﹣260(含) 260 以上 5.00 7.00 9.00
第 3 页(共 31 页)
2.07 4.07 6.07
1.57 1.36
某户居民从 2015 年 1 月 1 日至 4 月 30 日,累积用水 190 立方米,则这户居民 4
21. (5 分)列方程或方程组解应用题:2015 年“植树节”前夕,某小区为绿化 环境,购进 200 棵柏树苗和 120 棵枣树苗,且两种树苗所需费用相同.每棵 枣树苗的进价比每棵柏树苗的进价的 2 倍少 5 元,每棵柏树苗的进价是多少 元? 22. (5 分)在平面直角坐标系 xOy 中,过点 A(﹣4,2)向 x 轴作垂线,垂足 为 B,连接 AO.双曲线 (1)求反比例函数的解析式; (2)求△BOD 的面积. 经过斜边 AO 的中点 C,与边 AB 交于点 D.
个月共需缴纳水费
元.
15. (3 分)已知女排赛场球网的高度是 2.24 米,某排球运动员在一次扣球时, 球恰好擦网而过,落在对方场地距离球网 4 米的位置上,此时该运动员距离 球网 1.5 米,假设此次排球的运行路线是直线,则该运动员击球的高度是 米.
16. (3 分)在平面直角坐标系 xOy 中,记直线 y=x+1 为 l.点 A1 是直线 l 与 y 轴的交点,以 A1O 为边作正方形 A1OC1B1,使点 C1 落在在 x 轴正半轴上,作 射线 C1B1 交直线 l 于点 A2,以 A2C1 为边作正方形 A2C1C2B2,使点 C2 落在在 x 轴正半轴上, 依次作下去, 得到如图所示的图形. 则点 B4 的坐标东城区中考一模数学试卷
一、选择题(本题共 30 分,每小题 3 分)下面各题均有四个选项,其中只有一 个是符合题意的. 1. (3 分)与﹣2 的和为 0 的数是( A.﹣2 B. ) C. D.2

2015年北京中考英语一模五选五汇编附答案

2015年北京中考英语一模五选五汇编附答案

2015年一模五选五汇编海淀一模通州一模七、阅读短文,根据短文内容,从短文后的五个选项中选出能填入空白处的最佳选项。

(共10分,每小题2分)I often hear some students say that English is difficult, and it gives them a headache so they can’t learn it well. But English is very easy for me. __56__. I’m very glad to tell you something about how I study English.__57__. When I started Grade 3 in primary school, we had a new subject—English. I was interested in it, so I worked hard at it. Soon we had an English exam and I got a very good mark. How happy I was! __58__.Second, I think English is a foreign language. I should learn it well in the following way: __59__, speak bravely, read aloud and learn more words and phrases whenever I can. Then practice again and again and make the process interesting. __60__: Whenever I have a question, I must make it clear by asking our English teacher. How happy I am when I understand!A. I also have a good habitB. I’m good at itC. After that, I learnt English harder and harderD. Listen to the teacher carefullyE. First, interest in English is very important门头沟一模七、阅读短文,根据短文内容,从短文后的五个选项中选出能填入空白处的最佳选项。

2015年北京市顺义区中考数学一模试卷带解析答案

2015年北京市顺义区中考数学一模试卷带解析答案

A.2.8×107
3. (3 分)如图是由四个相同的小正方体组成的立体图形,它的俯视图为(
A.
B.
C.
D.
4. (3 分)一名射击爱好者 5 次射击的中靶环数如下:6,7,9,8,9,这 5 个 数据的中位数是( A.6 ) B.7 C.8 ) D.9
5. (3 分)下列图形中是中心对称图形的是(
A.
B.
C. 6. (3 分)函数
D. 中,自变量 x 的取值范围是(
第 1 页(共 28 页)

A.x≠3
B.x≥3
ቤተ መጻሕፍቲ ባይዱ
C.x>3
D.x≤3
7. (3 分)一个不透明的口袋中,装有 4 个红球,3 个黄球,1 个白球,这些球 除颜色外其余都相同,从口袋中随机摸一个球,则摸到红球的概率为( A. B. C. D. )
根据以上信息解答下列问题: (1)在扇形统计图中,A(经常租用)所占的百分比是 (2)求两次共抽样调查了多少人,并补全折线统计图; (3)根据调查的结果,请你谈谈从 2015 年 1 月底到 2015 年 3 月底,我区居民 使用公租自行车的变化情况. 25. (5 分)如图,AB 是⊙O 的直径,C 是⊙O 上一点,D 是 的中点,过点 D ;
15. (3 分)居民用电计费实行“一户一表”政策,以年为周期执行阶梯电价, 即:一户居民全年不超过 2880 度的电量,执行第一档电价标准为 0.48 元/度; 全年用电量在 2880 度到 4800 度之间(含 4800) ,超过 2880 度的部分,执行 第二档电价标准为 0.53 元/度; 全年用电量超过 4800 度, 超过 4800 度的部分, 执行第三档电价标准为 0.78 元/度. 小敏家 2014 年用电量为 3000 度, 则 2014 年小敏家电费为 元.

北京市西城区2015年初三一模试卷

北京市西城区2015年初三一模试卷

北京市西城区2015年初三一模试卷数学 2015.4一、选择题(本题共30分,每小题3分)下面各题均有四个选项,其中只有一个是符合题意的。

1.31的相反数是 A. 31 B.-31C. 3D.-32.据市烟花办相关负责人介绍,2015年除夕零时至正月十五24时,全市共销售烟花爆竹约箱,同比下降了32%,将用科学记数法表示应为A.1.96×105B. 1.96×104C. 19.6×104D.0. 196×1063.下列运算正确的是A.3a+3b=6abB.a 3-a=a 2C. (a 2)3=a 6D.a 6÷a 3=a 24.如图是一个 几何体的直观图,则其主视图是5.甲、乙、丙、丁四名选手参加100米决赛,赛场共设1,2,3,4四条跑道,选手以随机抽签的方法决定各自的跑道,若甲首先抽签,则甲抽到1号跑道的概率是A.1B.21 C. 31D. 416.下列图形中,即是轴对称图形又是中心对称图形的是A. B. C. D.7.如图,线段AB 是⊙O 的直径,弦CD ⊥AB,如果∠BOC=70°,那么∠BAD 等于 A. 20° B. 30° C. 35° D. 70°8.在平面直角坐标系xoy 中,第一象限内的点P 在反比例函数的图象上,如果点P 的纵坐标是3,OP=5,那么该函数的表达式为A.y=x 12 B. y=-x 12 C.y=x 15 D.y=-x159.为了解某小区“全民健身”活动的开展情况,某志愿者对居住在该小区50名成年人一周的体育锻炼时间进行了统计,并绘制成如图所示的条形统计图。

这组数据的众数和中位数分别是A.6,4B.6,6C.4,4D.4,610.如图,过半径为6的⊙O 上一点A 作⊙O 的切线l ,P 为⊙O于点H ,连接PA ,如果PA=x ,AH=y ,那么下列图象中,能大致表示y 与x A. B. C. D.A. B. C.二、填空题(本题共18分,每小题3分)11.如果分式51-x 有意义,那么x 的取值范围是 . 12.半径为4cm ,圆心角为60°的扇形的面积为 cm 2. 13.分解因式:12m 2-3= .14.如图,△ABC 中,AB=AC,点D,E 在BC 边上,当 时,△ABD ≌△ACE.(添加一个适当的条件即可).15. 如图是蹊跷板的示意图,立柱OC 与地面垂直,以O 为横板AB 的中点..,AB 绕点O 上下转动,横板AB 的B 端最大高度h 是否会随横板长度的变化而变化呢?一位同学做了如下研究:他先设AB=2m,OC=0.5m,通过计算得到此时的h 1,再将横板AB换成A ′B ′,O 为横板A ′B ′的中点,且A ′B ′=3m ,此时B ′点的最大高度为h 2,由此得到h 1与h 2的大小关系是:h 1 h 2(填“>”、“=”或“<”),可进一步得出h 随横板的长度的变化而 (填“不变 ”或“改变”).16.如图,数轴上,点A 的初始位置表示的数为1,现点A 做如下移动:第1次点A 向左移动3个单位长度至点A 1,第2次从点A 1向右移动6个单位长度至点A 2,第3次从点A 2向左移动9个单位长度至点A 3,…,按照这种移动方式进行下去,点A 4表示的数是 ,如果点A n 与原点的距离不小于20,那么n 的最小值是 。

2015年北京通州初三数学一模试题含答案

2015年北京通州初三数学一模试题含答案

通州区2015年初三模拟考试数学试卷一、选择题(每题只有一个正确答案,共10个小题,每小题3分,共30分) 1.2-的绝对值是( )A .2±B .2C .12D .12-2.北京市为了缓解交通拥堵问题,大力发展轨道交通.据调查,目前轨道交通日均运送乘客达到1320万人次.数据1320万用科学计数法表示正确的是( )A .113210⨯万 B .213.210⨯万 C .31.3210⨯万 D .41.3210⨯万 3.某几何体的三视图如图所示,这个几何体是( ) A .圆柱 B .三棱柱 C. 长方体D .圆锥4.下列等式一定成立的是( ). A .22a a a ⋅=B .22=÷a aC .22423a a a +=D .()33a a -=-5.如图,点A 、D 在射线AE 上,直线AB ∥CD ,∠CDE =140°, 那么∠A 的度数为( ) A .140° B .60° C .50°D .40° 6.一个多边形的每一个内角均为108°,那么这个多边形是( )A .七边形B .六边形C .五边形D .四边形7.某学校组织学生进行社会主义核心价值观的知识竞赛,进入决赛的共有20名学生,他们的决赛成绩如下表所示:那么20名学生决赛成绩的众数和中位数分别是( )A .85, 90B .85, 87.5C .90, 85D .95, 908.物理某一实验的电路图如图所示,其中K 1,K 2,K 3 为电路开关,L 1 ,L 2为能正常发光的灯泡.任意闭合开关K 1, K 2, K 3中的两个,那么能让两盏灯泡同时..发光的概率为( ) A .31B .32C .21D .619.如图,AB 是⊙O 的直径,CD 是弦,且CD ⊥AB ,BC =6,AC =8,那么sin ∠ABD 的值是( )A .43 B .34 C .35 D .4510.如图,在Rt △ABC 中,∠ACB =90°,D 为斜边AB 的中点,动点P 从B 点出发,沿B →C →A 运动.如图(1)所示,设S △DPB = y ,点P 运动的路程为x ,若y 与x 之间的函数图象如图(2)所示,则△ABA .4B .6C .12D .14二、填空题:(每题3分,共18分)11.分解因式:2a 2-4a +2=________________.12.使得分式321x -有意义的x 的取值范围是 . 13.燃灯佛舍利塔(简称燃灯塔)是通州八景之一,该塔始建于南北朝北周宇文时期,距今已有1300多年历史.燃灯塔距运河300 米,是通州的象征.某同学想利用相似三角形的有关知识来求 燃灯塔的高度.他先测量出燃灯塔落在地面上的影长为12米, 然后在同一时刻立一根高2米的标杆,测得标杆影长为0.5米, 如图(1)A214.生物学研究表明在8—17岁期间,男女生身高增长速度规律呈现如下图所示,请你观察此图,回答下列问题:男生身高增长速度的巅峰期是 岁,在 岁时男生女生的身高增长速度是一样的.15.如图,在扇形OAB 中,∠AOB =110°,半径OA =18,将扇形OAB 沿着过点B 的直线折叠,点O 恰好落在AB 上的点D 处,折痕交OA 于点C ,则AD 的长等于 . 16.如图,在平面直角坐标系xOy 中,四边形ABOC 是正方形,点A 的坐标为(1,1).¼1AA 是以点B 为圆心,BA 为半径的圆弧;¼12A A 是以点O 为圆心,1OA 为半径的圆弧,¼23A A 是以点C 为圆心,2CA 为半径的圆弧,¼34A A 是以点A 为圆心,3AA 为半径的圆弧,继续以点B 、O 、C 、A 为圆心按上述做法得到的曲线12345AA A A A A ……称为“正方形的渐开线”,那么点5A 的坐标是 , 点A 的坐标是 .第15题图 第16题图 三、解答题(每题5分,共25分)17.如图,点O 是直线l 上一点,点A 、B 位于直线l 的两侧,且∠AOB =90°,OA =OB ,分别过A 、B 两点作AC ⊥l ,交直线l 于点C ,BD ⊥l ,交直线l 于点D . 求证:AC =OD .18()1201512tan 6012-⎛⎫--︒-- ⎪⎝⎭19.解不等式组51342133x x x ->-⎧⎪⎨-≥-⎪⎩,并把不等式组的解集在数轴上表示出来.20.已知:2450x x +-=,求代数式22(1)(1)(2)x x x +---的值.21.如图,一次函数y 1=kx +b 的图象与反比例函数y 2=6x的图象交于A (m ,3),B (-3,n )两点.(1)求一次函数的表达式;(2)观察函数图象,直接写出关于x 的不等式 6x>kx +b四、解答题(每题5分,共25分)22.为了把通州区打造成宜居的北京城市副中心,区政府对地下污水排放设施进行改造.某施工队承担铺设地下排污管道任务共2200米,为了减少施工对周边交通环境的影响,施工队进行技术革新,使实际平均每天铺设管道的长度比原计划多10%,结果提前两天完成任务.求原计划平均每天铺设排污管道的长度.通州区2013年至2014年三期自行车投放数量统计图(单位:辆) 通州区2013年至2014年三期所投放的 自行车租赁点百分比统计图23.已知菱形ABCD 的对角线AC 与BD 相交于点E ,点F 在BC 的延长线上,且CF=BC ,连接DF ,点G 是DF 中点,连接CG .求证:四边形 ECGD 是矩形.24.为倡导“1公里步行、3公里单车、5公里汽车(地铁、轻轨)”出行模式, 2013年5月环保公共自行车正式“驶入”通州,通州区分三期投放白绿环保公共自行车.第一期投放租赁点以八通线通州北苑、梨园站为中心,共投放21个租赁点。

2015.5北京中考东城一模+答案

2015.5北京中考东城一模+答案

东城区2014—2015学年第二学期初三综合练习(一) 数学试题 2015.5学校 班级 姓名 考号考生须知1.本试卷共8页,共五道大题,29道小题,满分120分.考试时间120分钟. 2.在试卷上准确填写学校名称、班级、姓名和考号. 3.试题答案一律填涂或书写在答题卡上,在试卷上作答无效. 4.在答题卡上选择题、作图题用2B 铅笔作答,其他试题用黑色字迹签字笔作答. 5.考试结束,请将本试卷和答题卡一并交回. 一、选择题(本题共30分,每小题3分)下面各题均有四个选项,其中只有一个..是符合题意的. 1.与2-的和为0的数是 A .2- B .12-C .12D .22.2015年元旦期间,北京各大公园接待游客达245 000万人次。

其中, “冰雪乐园”吸引了大批游客亲身感受冰雪带来的快乐,一起为北京申办2022年冬奥会助力加油.用科学记数法表示245 000 ,正确的是A .424.510⨯B .52.4510⨯C .62.4510⨯D .60.24510⨯ 3.一个几何体的三视图如图所示,则这个几何体是 A .圆柱 B .球 C .圆锥 D . 棱柱4.在某校初三年级古诗词比赛中,初三(1)班42名学生的成绩统计如下,则该班学生成绩的中位数和众数分别是分数 50 60 70 80 90 100 人数 12813144A . 70,80B . 70,90C . 80,90D . 80,1005. 在六张卡片上分别写有1π,, 1.5,3,0,23-,从中任意抽取一张,卡片上的数为无理数的概率是 A . 16B .13C . 12D . 236.正五边形的每个外角等于A. 36︒B. 60︒C. 72︒D. 108︒ 延长线7.如图,AB 是O 的直径,点C 在O 上,过点C 作O 的切线交AB 的于点D ,连接OC ,AC . 若50D ∠=︒,则A ∠的度数是A. 20︒ B .25︒C .40︒D .50︒8.小李驾驶汽车以50千米/小时的速度匀速行驶1y (单位:千米)与行驶时间t (单位:小时)的函数图象大致如图所示,则接电话后小李的行驶速度为 A. 43.5 B. 50 C. 56 D . 589. 如图,已知∠MON =60°,OP 是∠MON 的角平分线 ,点A 是OP 上一点,过点A 作ON 的平行线交OM 于点B,AB=4.则直线AB 与ON 之间的距离是 A.3 B.2 C.23 D.410. 如图1, ABC △和DEF △都是等腰直角三角形,其中90C EDF ∠=∠=︒,点A 与点D 重合,点E 在AB 上,4AB =,2DE =.如图2,ABC △保持不动,DEF △沿着线段AB 从点A 向点B 移动, 当点D 与点B 重合时停止移动.设AD x =,DEF △与ABC △重叠部分的面积为S ,则S 关于x 的函数图象大致是图1 图22.24A B C D二、填空题(本题共18分,每小题3分)11.分解因式:224mx my -= . 128272+3的结果为 .13. 关于x 的一元二次方程230x x m +-=有两个不相等的实数根,则实数m 的取值范围 是 .14. 北京的水资源非常匮乏,为促进市民节水,从2014年5月1日起北京市居民用水实行阶梯水价,实施细则如下表:北京市居民用水阶梯水价表 单位: 元/立方米分档水量户年用水量(立方米)水价其中自来水费水资源费污水处理费 第一阶梯 0-180(含)第二阶梯 181-260(含) 第三阶梯260以上6.07某户居民从2015年1月1日至4月30日,累积用水190立方米,则这户居民4个月共需缴纳水费 元.15.已知女排赛场球网的高度是2.24米,某排球运动员在一次扣球时,球恰好擦网而过,落在对方场地距离球网4米的位置上,此时该运动员距离球网1.5米,假设此次排球的运行路线是直线,则该运动员击球的高度是 米.ODBC16.在平面直角坐标系xOy 中,记直线1y x =+为l .点1A 是直线l 与y 轴的交点,以1A O 为 边做正方形111A OC B ,使点1C 落在在x 轴正半轴上,作射线11C B 交直线l 于点2A ,以 21A C 为边作正方形2122A C C B ,使点2C 落在在x 轴正半轴上,依次作下去,得到如图点4B 的坐标是 ,点n B 的坐标是 .三、解答题(本题共30分,每小题5分)17.如图,AC 与BD 交于点O ,OA OC =,OB OD =.求证:DC AB ∥.18. 计算:()11336043-⎛⎫--︒+-+- ⎪⎝⎭π.19.解不等式组:()2131,5 4.2x x x x --⎧⎪⎨-+⎪⎩><20.先化简,再求值:222442111a a a a a a -+-+÷+--,其中21a =. 21.列方程或方程组解应用题:2015年“植树节”前夕,某小区为绿化环境,购进200棵柏树苗和120棵枣树苗,且两种的进价比每棵柏树苗的进价的2倍少5元,每棵柏树苗的进价是多少元?22.在平面直角坐标系xOy 中,过点()4,2A -向x 轴作垂线,垂足为B ,连接AO .双曲线 ky x=经过斜边AO 的中点C ,与边AB 交于点D . (1)求反比例函数的解析式; (2)求△BOD 的面积. 四、解答题(本题共20分,每小题5分)23. 如图,ABC △中,90BCA ∠=︒,CD 是边AB 上的中线,分别过点C ,D 作BA ,BC的平行线交于点E ,且DE 交AC 于点O ,连接AE . (1)求证:四边形ADCE 是菱形; (2)若2AC DE =,求sin CDB ∠的值.第15题图 第16题图F24.为弘扬中华传统文化,某学校决定开设民族器乐选修课.为了更贴合学生的兴趣,对学生最喜爱的一种民族乐器进行随机抽样调查,收集整理数据后,绘制出以下两幅未完成的统计图,请根据图1和图2提供的信息,解答下列问题:(1)在这次抽样调查中,共调查 名学生; (2)请把条形图(图1)补充完整;(3)求扇形统计图(图2)中,二胡部分所对应的圆心角的度数; (4)如果该校共有学生1500名,请你估计最喜爱古琴的学生人数.过点,D A 分别25. 如图,在⊙O 中,AB 为直径,OC AB ⊥,弦CD 与OB 交于点F ,作⊙O 的切线交于点G ,且GD 与AB 的延长线交于点E . (1)求证:12∠=∠;(2)已知::1:3OF OB =,⊙O 的半径为3,求AG 的长.26. 在四边形ABCD 中,对角线AC 与BD 交于点O ,E 是OC 上任意一点,AG BE ⊥于点G ,交BD 于点F .(1)如图1,若四边形ABCD 是正方形,判断AF 与BE 的数量关系;明明发现,AF 与BE 分别在AOF △和BOE △中,可以通过证明AOF △和BOE △全等,得到AF 与BE 的数量关系;请回答:AF 与BE 的数量关系是 .(2) 如图2,若四边形ABCD 是菱形, 120ABC ∠=︒,请参考明明思考问题的方法,求AFBE的值.BAG BF EO DCA图1 图2五、解答题(本题共22分,第23题7分,第24题7分,第25题8分)27.在平面直角坐标系xOy 中,抛物线()210y ax bx a =++≠过点()1,0A -,()1,1B ,与y 轴交于点C .(1)求抛物线()210y ax bx a =++≠的函数表达式;(2)若点D 在抛物线()210y ax bx a =++≠的对称轴上,当ACD △的周长最小时,求点D 的坐标;(3)在抛物线()210y ax bx a =++≠的对称轴上是否存在点P ,使ACP △成为以AC 为直角边的直角三角形?若存在,求出点P 的坐标;若不存在,请说明理由.28. 已知:Rt △A ′BC ′和 Rt △ABC 重合,∠A ′C ′B =∠ACB =90°,∠BA ′C ′=∠BAC =30°,现将Rt △A ′BC ′ 绕点B 按逆时针方向旋转角α(60°≤α≤90°),设旋转过程中射线C ′C 和线段AA ′相交于点D ,连接BD . (1)当α=60°时,A ’B 过点C ,如图1所示,判断BD 和A ′A 之间的位置关系,不必证明; (2)当α=90°时,在图2中依题意补全图形,并猜想(1)中的结论是否仍然成立,不必证明; (3)如图3,对旋转角α(60°<α<90°),猜想(1)中的结论是否仍然成立;若成立,请证明你的结论;若不成立,请说明理由.29.定义符号{}min a b ,的含义为:当a b ≥时, {}min a b b =,;当a b <时, {}min a b a =,.如:{}min 122-=-,,{}min 121-=-,.(1)求{}2min x -1,-2;(2)已知2min{2,3}3x x k -+-=-, 求实数k 的取值范围;(3) 已知当23x -≤≤时,22min{215,(1)}215x x m x x x --+=--.直接写出实数m 的取值范围.东城区2014-2015学年第二学期初三综合练习(一)数学试题参考答案及评分标准 2015.5一、选择题(本题共30分,每小题3分)二、填空题(本题共18分,每小题3分) 三、解答题(本题共30分,每小题5分) 17. 证明:∵在ODC △和OBA △中,∵,,,OD OB DOC BOA OC OA =⎧⎪∠=∠⎨⎪=⎩∴ODC OBA △≌△. …………3分 ∴C A ∠=∠. …………4分 ∴DC AB ∥. …………5分()()1118.36043134415-⎛⎫-︒+-+- ⎪⎝⎭=--+=-解:π分分19. ()2131,8x x x x --⎧⎪⎨-+⎪⎩①②>解:5<2,2x 由①得,<,…………2分 1x -由②得,>, …………4分 所以,不等式组的解集为12x -<<. …………5分()()()22224421112211112221131a a a a a a a a a a a a a a a a a -+-+÷+----=+⋅++---=+++=+20.解:分当1a =时,2=原式.…………5分 21.解:设每棵柏树苗的进价是x 元,则每棵枣树苗的进价是()25x -元. …………1分 根据题意,列方程得:200=120(25)x x -, …………3分 解得: 15x =. …………5分 答:每棵柏树苗的进价是15元. 22. 解:(1)过点C 向x 轴作垂线,垂足为E .∵CE x ⊥轴,AB x ⊥轴,()4,2A-,∴CE AB ∥,()4,0B -. ∴12OE OC CE OB OA AB ===. ∵4OB =,2AB =, ∴2OE =,1CE =.∴()2,1C -. …………2分 ∵双曲线ky x=经过点C , ∴2k =-.∴反比例函数的解析式为2y x=-. …………3分 (2)∵点D 在AB 上,∴点D 的横坐标为4-. ∵点D 在双曲线2y x=-上, ∴点D 的纵坐标为12. …………4分 ∴BODS △11141222OB BD =⋅⋅=⨯⨯=.…………5分 四、解答题(本题共20分,每小题5分)23.(1)证明:∵DE BC ∥,CE AB ∥, ∴四边形DBCE 是平行四边形. ∴CE BD =. 又∵CD 是边AB 上的中线,∴BD AD =.∴CE DA =. 又∵CE DA ∥,∴四边形ADCE 是平行四边形.∵90BCA ∠=︒,CD 是斜边AB 上的中线, ∴AD CD =.∴四边形ADCE 是菱形. …………3分(2)解:作CFAB ⊥于点F .由(1) 可知, .BC DE =设BC x =,则2AC x =.在Rt ABC △中,根据勾股定理可求得5AB x =.∵1122AB CF AC BC ⋅=⋅, ∴255AC BC CF x AB ⋅==.F∵152CD AB x ==, ∴4sin 5CF CDB CD ∠==.…………5分 24.解:(1)20÷10%=200(名),…………1分 答:一共调查了200名学生; (2)最喜欢古筝的人数:200×25%=50(名), 最喜欢琵琶的人数:200×20%=40(名); 补全条形图如图; …………3分 (3)二胡部分所对应的圆心角的度数为:60200×360°=108°; …………4分 (4)1500×30200=225(名). …………5分答:1500名学生中估计最喜欢古琴的学生人数为225. 25.(1)证明:连结OD ,如图.∵DE 为⊙O 的切线,OD 为半径, ∴OD DE ⊥.∴90ODE ∠=︒,即290ODC ∠+∠=︒.∵OC OD =, ∴C ODC ∠=∠. ∴290C ∠+∠=︒. 而OC OB ⊥,∴390C ∠+∠=︒. ∴23∠=∠.∵13∠=∠, ∴12∠=∠. …………2分(2)解:∵:1:3OF OB =,⊙O 的半径为3, ∴1OF =. ∵12∠=∠, ∴EF ED =.在Rt ODE △中,3OD =,设DE x =,则EF x =,1OE x =+.∵222OD DE OE +=,∴()22231x x +=+,解得4x =.∴4DE =,5OE =.∵AG 为⊙O 的切线,OA 为半径,GD 为⊙O 的切线, ∴AG AE ⊥,GA GD =.∴90GAE ∠=︒.在Rt AGE △中,设DG t =,则4GE t =+.∵222AG AE GE +=. ∴()22284t t +=+,解得,6t =.∴6AG =. -------------------5分26. 解:(1)AF =BE ; …………1分 (2)AF BE=. …………2分 理由如下:∵四边形ABCD 是菱形,120ABC ∠=︒,∴AC BD ⊥,60ABO ∠=︒.∴90FAO AFO ∠+∠=︒.∵AG BE ⊥,∴90EAG BEA ∠+∠=︒.∴AFO BEA ∠=∠.又∵90AOF BOE ∠=∠=︒,∴AOF BOE △∽△. …………3分∴AF AO BE OB= . ∵60ABO ∠=︒,AC BD ⊥,∴tan 60AO OB=︒=.∴AF BE = …………5分 五、解答题(本题共22分,第27题7分,第28题7分,第29题8分)27.解:(1)∵抛物线()210y ax bx a =++≠过点()1,0A -,()1,1B ,∴10,1 1.a b a b -+=⎧⎨++=⎩∴1,21.2a b ⎧=-⎪⎪⎨⎪=⎪⎩ ∴抛物线的函数关系式为211122y x x =-++. …………2分 (2)∵122b x a =-=,()0,1C∴抛物线211122y x x =-++的对称轴为直线12x =. 设点E 为点A 关于直线12x =的对称点,则点E 的坐标为()2,0. 连接EC 交直线12x =于点D ,此时ACD △的周长最小. 设直线EC 的函数表达式为y kx m =+,代入,E C 的坐标,则2m 0,1.k m +=⎧⎨=⎩解得1,21.k m ⎧=-⎪⎨⎪=⎩所以,直线EC 的函数表达式为112y x =-+. 当12x =时,34y =. ∴ 点D 的坐标为13,24⎛⎫⎪⎝⎭. …………4分 (3)存在.①当点A 为直角顶点时,过点A 作AC 的垂线交y 轴于点M ,交对称轴于点1P . ∵AO OC ⊥,1AC AP ⊥,∴90AOM CAM ∠=∠=︒.∵()0,1C ,()1,0A -,∴1OA OC ==.∴45CAO ∠=︒.∴45OAM OMA ∠=∠=︒.∴1OA OM ==.∴点M 的坐标为()0,1-.设直线AM 对应的一次函数的表达式为11y k x b =+,代入,A M 的坐标,则1110,1.k b b -+=⎧⎨=-⎩ 解得111,1.k b =-⎧⎨=-⎩ 所以,直线AM 的函数表达式为1y x =--. 令12x =,则32y =-. ∴点1P 的坐标为13,22⎛⎫-⎪⎝⎭. …………5分 ②当点C 为直角顶点时,过点C 作AC 的垂线交对称轴于点2P ,交x 轴于点N . 与①同理可得Rt CON △是等腰直角三角形,∴1OC ON ==.∴点N 的坐标为()1,0.∵2CP AC ⊥,1AP AC ⊥,∴21CP AP ∥.∴直线2CP 的函数表达式为1y x =-+. 令12x =,则12y =. ∴点2P 的坐标为11,22⎛⎫ ⎪⎝⎭. …………6分 综上,在对称轴上存在点1P 13,22⎛⎫- ⎪⎝⎭,2P 11,22⎛⎫ ⎪⎝⎭,使ACP △成为以AC 为直角边的直角三角形.…………7分28.解:(1) 当60α=︒时, BD A A '⊥. ------------1分(2)补全图形如图1,BD A A '⊥仍然成立;------------3分(3)猜想BD A A '⊥仍然成立.证明:作AE C C '⊥,A F C C ''⊥,垂足分别为点,E F ,如图2,则90AEC A FC ''∠=∠=︒. ∵BC BC '=,∴BCC BC C ''∠=∠.∵90ACB A C B ''∠=∠=︒,∴90ACE BCC '∠+∠=︒,'90A C F BC C ''∠+∠=︒. ∴ACE A C F ''∠=∠.在AEC △和A FC ''△中,90,,,AEC A FC ACE A C F AC A C ''∠=∠=︒⎧⎪''∠=∠⎨⎪''=⎩∴AEC A FC ''△≌△.∴AE A F '=.在AED △和A FD '△中,90,,,AEC A FD ADE A DF AE A F '∠=∠=︒⎧⎪'∠=∠⎨⎪'=⎩∴AED A FD '△≌△.∴AD A D '=.∵AB A B '=,∴'ABA △为等腰三角形.∴BD A A '⊥------------7分29.解:(1)∵20x ≥,∴2x -1≥-1.∴2-x -1>2.图2图1∴{}2min 2x =--1,-2. ┉┉2分(2) ∵()2211x x k x k -+=-+-2,∴()2111x k k -+--≥.∵2min{2,3}3x x k -+-=-, ∴13k --≥.∴2k -≥.┉┉5分 (3) 37m -≤≤.┉┉8分。

2015北京中考模拟题英语五选五集合

2015北京中考模拟题英语五选五集合

七、阅读短文,根据短文内容,从短文后的五个选项中选出能填入空白处的最佳选项。

每个选项只能用一次。

(共10分,每小题2分)The Same But DifferentMaggie and Sarah are twin sisters. They were born just a few minutes apart, and they look exactly alike. They both have blonde hair and green eyes. 56 . Sometimes other students at school have a hard time telling them apart.Maggie and Sarah like going to the same school. This is because they are not just twin sisters, but best friends too. They have a lot in common. 57 . Both girls spend a lot of time together with their family, and they both like to play with their dog, Callie.58 . Maggie likes to play sports. She is on a soccer team and a basketball team. Sarah doesn’t really like sports. She likes to dance.There are other differences between them too. 59 . Maggie likes to read mystery books, but Sarah likes to read books about animals. Maggie gets better grades in reading and Spanish, but Sarah gets better grades in math and science.Everyone is different in her or his own way. Maggie and Sarah like being different from each other as much as they like being similar. 60 .A. That is what makes them specialB. They are around the same height as wellC. But Maggie and Sarah are also very differentD. Maggie likes the color red, but Sarah likes the color greenE. Both girls enjoy a lot of the same television shows, books, and foodNew words & expressions七、阅读短文,根据短文内容,从短文后的五个选项中选出能填入空白处的最佳选项。

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朝阳一模Kevin Pearce, snowboard athlete (运动员), has come a long way since his accident on December 31, 2009.56 ,,when he fell and hurt his head. Luckily, he was wearing a helmet (头盔). 57 . He stayed in hospital for four months. He still can‟t remember several weeks of his life after the accident.Today, Pearce is still working hard to get his health back to 100%. 58 . A year ago, he couldn‟t walk straight. Now, he can not only walk, but he can also drive again.Pearce says he must thank his fans, his friends and especially his family. His parents and elder brothers have been by his side since the accident. 59 . He said he couldn‟t have got well so quickly without them.These days, Pearce is back on the snowboarding circuit (巡回比赛). 60 . He is on the road again and it is a丰台一模A new pet shop called Turtle Dove opened on First Street. It sold two kinds of animals. 56 , Bill and Bob. They moved here from the northern California, where they owned an ant farm store. That store was so successful that they sold it after four years and got a lot of money.They took it easy for a few years. Traveling through the state. “We visited almost every zoo in the country, 57 , and partly because we were looking for support for our next business,” said Bill. They finally decided on turtles and doves(白鸽). “They‟re easy to feed and care for, 58 .” said Bob.The store will be open from 9 a.m. to 9 p.m. Wednesdays through Saturdays. “We think those are hours that our customers will find very convenient. What‟s more, the three days off gives us a chance to go into the woods and find more little animals. 59 , we always try to collect them from the wild. That way our customers can save more money. Of course, by removing these animals from the nature, we protect them from being eaten by their nature enemies. So our customers are happy, our animals are happy, 60 .It‟s a win-win for all of us.”石景山一模High school life can be terrible if you get it all wrong. Find out how to survive high school with a few easy tips.◆56. ________.High school is a fun time to make new friends and meet new people. Make friends with all kinds of people and not just a group which you are comfortable with. Socialize, but by judging who you can connect to. You will find friends, but stay away from the ones who don‟t want to be your friends.◆Be yourself.Do your own things, and don‟t just follow others. 57. ________. Just be yourself and create a strong self-image.◆Be positive (积极的).There is nothing better than having a smile on your face whenever you can. 58. ________. Just be brave enough to meet new people or do something you‟ve never tried. Meanwhile, respect your teachers and classmates and try to be helpful if you want the same in return.◆Be confident.When you believe in yourself, others will believe in you. 59. ________. And people respect you for that. Make sure you won‟t easily get influenced by others.◆Love high school.60. ________. Make the most out of it, and you will never get those moments back. Come up with funny ideas, top顺义一模What a day通州一模西城一模Following Their DreamsFlorence lived in the countryside of Kenya (肯尼亚)in Africa. When she was 12, she wanted nothing more than to finish school. But for many girls like her, school is not a choice.___56___. Families will probably spend money educating boys. Many girls are forced to marry.___57___. It was Beads for Education, started by Lisa Stevens, that helped realize her dream. Beads has provided many girls with the best education possible. Florence was the first of 320 Kenyan girls in third grade.___58___. During her visit, she heard that many women made and sold baskets. They used the money to send their daughters to school. Two years later, she started to help sell the Kenyan crafts in the U. S. In 1998, Stevens began helping girls continue their education.___59___. In January, 2015, she opened the fourth one. "I want to provide the girls with the best education possible and prepare them for college and beyond," Stevens said.The new high school is named Tembea, which means "to walk". Florence is walking toward a bright future. ___60___ . "Florence is the first in her family to finish high school and college," says Stevens. "She is an example for all girls in Kenya."东城一模Doctors in Germany have warned people that headbanging could be bad for your health. __________ (56). Dancers shake their heads ba ck to front, and from side to side, very quickly.Doctors say this would injure(伤害) the brain. __________ (57). The man had no history of head injuries but had been headbanging for many years.He began to have bad headaches after going to a heavy metal concert. __________ (58) They gave him a brain scan(扫描) and found bleeding in his brain. He needed an operation to repair it. Doctors made a hole in his brain to take out some blood. __________ (59) Doctors said the risk of injury to the brain from headbanging is low and heavy metal fans do not need to stop doing the dance completely. The head doctor, Ariyan Pirayesh, said: "We are not against headbanging. Rock 'n'roll will never die. __________ (60). We just think if our patient had gone to a classical (古典的) concert,this would not have happened."海淀一模The Same But DifferentMaggie and Sarah are twin sisters. They were born just a few minutes apart,and they look exactly alike. They both have blonde hair and green eyes.56 . Sometimes other students at school have a hard time telling them apart.Maggie and Sarah like going to the same school. This is because they are notjust twin sisters, but best friends too. They have a lot in common. 57 . Bothgirls spend a lot of time together with their family, and they both like to play withtheir dog, Callie.58 . Maggie likes to play sports. She is on a soccer team and a basketball team. Sarah doesn‟t really like sports. She likes to dance.There are other differences between them too. 59 . Maggie likes to read mystery books, but Sarah likes to read books about animals. Maggie gets better grades in reading and Spanish, but Sarah gets better grades in math and science.Everyone is different in her or his own way. Maggie and Sarah like being different from each other as much as they like being similar. 60 .A. That is what makes them specialB. They are around the same height as wellC. But Maggie and Sarah are also ve ry differentD. Maggie likes the color red, but Sarah likes the color greenE. Both girls enjoy a lot of the same television shows, books, and food房山一模It is a very common thing for a person to have a good friend. My good friend is Diana. She is a rich and proud girl. 56 . So nobody wants to be her friend.One day after school, I was waiting for Diana when Jane came up to me. She gave me a biscuit. I accepted it. 57 , and had very good time. From then on, I began to spend more time with Jane than with Diana. I felt a little uneasy.After a few days, I went to see Diana for a good talk when Jane came and sat with me. She offered me a sandwich. 58 . She walked away. I was angry with Diana for being so rude and thoughtless.“Never mind,” Jane said, “I‟m used to it .”After school, I tried to catch up with Diana. 59 , but she would not listen to me. She said, “Go and join your …dear‟ Jane. I know you make new friends and forget the old ones.”For the next few weeks, we did not talk to each other. Then , one day, Diana came to Jane and me, saying, “I‟m really sorry about what I did. I‟m a spoiled(宠坏) girl, but I also need good friends just like you. Would you please forgive me?” Jane and I looked at each other and smiled.60 .A.We talked and jokedB.She often thinks that she is too good for anyoneC.While walking home, I tried to correct her attitudeD.She also offered one to Diana , but Diana refused itE.From then on, Diana , Jane and I have been best friends怀柔一模If asked to recite a poem right now, which one would first come to mind? Most of you may say Jing Ye Si (Thoughts in the Silent Night). 56. As one of the most famous Chinese poems, almost every Chinese kid has learned it at school and can recite it.57. To remember World Poetry Day every March 21, the UN issues (发行) a set of six stamps that have six poems in six major languages. This year, Jing Ye Si is one of them.According to the UN, each theme(主题)shows a universal truth —the fading of time, forgiveness, longing (渴望), love, wisdom, and nature.Jing Ye Si is a poem with one of the above themes. 58. And it is catchy and easy for readers to understand the writer‟s longing for his home.The poem was written more than a thousand years ago. 59. Chen Bo, 14, from Inner Mongolia is now st udying in Guangzhou, a city far from his hometown. “Sometimes when I think of my hometown, I remember this poem,” he said.60. Here is a translation by Chinese translators Yang Xianyi and his wife Gladys Yang: “Beside my bed a pool of light —Is it hoarfrost (霜) on the ground? I lift my eyes and see the moon, I bend my head and think of home.” Do you like it?门头沟一模Chinese love to eat because food is thought to be the most important way to communicate. So some people often order so many dishes that they can‟t eat them up. Chinese government asks the public not to waste food anytime. 56 .The managers of some restaurants are doing what they can to help people to reduce (减少) food waste.57 , the waiters should remind them to reduce the number of dishes kindly, or the waiters should ask them to take the leftover with them.Zhong Li, a famous woman, said,“58 , even sometimes we can order a half so that we won‟t waste.” Once Zhong Li ordered half a Beijing Duck and some vegetables. She believed that saving food didn‟t mean losing face.59 . We call it “cleaning the plates”. Xu Jun has done it for years. He said, “60 . However, many people have thrown away a whole chicken or fish.” Cleaning the plates is not only to save food, but also to protect the environment and our health.门头沟一模My mother is a diligent and kind woman. She is very busy from morning till night. As a teacher, sheworks hard. 56 .Both my brother and I love her dearly as she loves us.My mother has been teaching math at a middle school in my hometown. She goes to work early in the morning and does not return home until late in the afternoon. 57 . She treats them with patience and teaches them well. For her excellent quality and very good teaching results, she has been elected as a model teacher several times.58 . Every day, when she comes back home from work, she sets about doing housework, sweeping the living room and bedrooms or cleaning the furniture, and putting everything in good order. 59 . As she has been very busy working every day, she looks older than her age. But she looks as cheerful and happy as ever. Mother never buys expensive dresses for herself, but she often buys some inexpensive but high quality clothes for us. She never goes to expensive restaurants to enjoy meals.She just eats a plain meal outside when she is too busy to cook herself. She lives a busy yet simple life, without any complaints.Ofte n she says to us, “Work whi le you work, and play while you play. That is the way to be happy and gay. If you do not work, you will become lazy and be of no use to society”. What a piece of good advice thisis!60 .This advice of hers will always serve as a guide to my behavior. My mother is great indeed, and I always feel proud of her.燕山一模Water rides — Something that really attracts you!The water rides are the most popular rides. 56__ The boat slides down very fast into the water! You can buy your ticket before you go to the theme park. Then you do not have to stand in a long line. 57 _ If more than 10 people go to the theme park together, it costs less. There is a ticket machine beside each ride. You can stand in line for your turn. Or you can take a ticket that gives a time you can go on that ride. Then you can do something else while you are waiting.58__ This is because when you are scared, your knuckles become white! It is a strange idea to pay more money to be scared, but many people do that because they want to enjoy the excitement of the rides! Sometimes they laugh and scream! At the theme parks, there are special rides for young children. Of course, the children‟s rides are not fast or high or scary. 59__ The children are safe when they sit inside the teacups and the ride goes around very slowly.Sometimes there are animals like rabbits and sheep for children to see at a theme park. So there are lots to do and see. You will sleep very well after you have been to a theme park for the day! 60__ Or would you be too scared? Do you think that your mother and father would enjoy this ride?答案朝阳DCABE 丰台CDEBA 西城AEBCD 东城EDCBA 海淀BECDA 房山BADCE 怀柔ECADB 门头沟CAEDB 平谷EACDB 燕山BADEC。

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